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61165025152 = 27711172231637
BaseRepresentation
bin111000111101101110…
…000011011110000000
312211212200210012210221
4320331232003132000
52000231221301102
644033202432424
74263504064330
oct707556033600
9184780705727
1061165025152
1123a38075770
12ba30062714
1359c9c2719a
142d634bb0c0
1518ceb80637
hexe3db83780

61165025152 has 256 divisors, whose sum is σ = 161676103680. Its totient is φ = 22314516480.

The previous prime is 61165025147. The next prime is 61165025227. The reversal of 61165025152 is 25152056116.

61165025152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37363278 + ... + 37364914.

It is an arithmetic number, because the mean of its divisors is an integer number (631547280).

Almost surely, 261165025152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61165025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80838051840).

61165025152 is an abundant number, since it is smaller than the sum of its proper divisors (100511078528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61165025152 is a wasteful number, since it uses less digits than its factorization.

61165025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 61165025152 in words is "sixty-one billion, one hundred sixty-five million, twenty-five thousand, one hundred fifty-two".